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Finding the Fourth Proportional to 204,509.48, 306,808.19 and 101,982.67

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Solution

The fourth proportional to 204,509.48, 306,808.19 and 101,982.67 is: 152,995.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,509.48 : 306,808.19 = 101,982.67 : x
  2. Step 2: Convert to fraction form
    204,509.48/306,808.19 = 101,982.67/x
  3. Step 3: Cross multiply
    204,509.48x = 306,808.19 × 101,982.67
  4. Step 4: Simplify right side
    204,509.48x = 31,289,119,799.02
  5. Step 5: Solve for x
    x = 31,289,119,799.02/204,509.48
  6. Step 6: Final answer
    x = 152,995.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.